Taken from a process that produces steel rods

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Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:

Sample

Sample Mean (in.)

Range (in.)

1

10.002

0.011

2

10.002

0.014

3

9.991

0.007

4

10.006

0.022

5

9.997

0.013

6

9.999

0.012

7

10.001

0.008

8

10 005

0.013

9

9.995

0.004

10

10.001

0.011

11

10.001

0.014

12

10.006

0.009

a) Determine the upper and lower control limits and the overall means for x-charts and R-charts.

b) Draw the charts and plot the values of the sample means and ranges.

c) Do the data indicate a process that is in control?

d) Why or why not?

Reference no: EM131111018

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